We present Monte Carlo computer simulations of model nematic droplets that mimic polymer dispersed liquid crystals (PDLC's) with bipolar boundary conditions. We investigate the orientational order and the molecular organization in these systems for various anchoring strengths and for external applied fields of different magnitude both for positive and negative susceptivity anisotropy. We report a number of simulations for system sizes from 304 to 11752 particles and calculate powder deuterium NMR spectra and polarizing microscope textures for the various cases.
We discuss the reorientation of a cylindrically symmetric probe in a biaxial orthorombic medium, such as a biaxial nematic. We write down and solve for the first time the rotational diffusion equation for a rod-like or disc-like uniaxial probe reorienting in a medium of biaxial symmetry. We calculate first and second rank correlation functions both in the uniaxial and biaxial phase, giving the possibility of following the evolution of dynamic observables of interest (e.g. spectral densities) through the uniaxial-biaxial phase transition. Nonperturbative and approximate analytical solutions are provided.
We present a Monte Carlo simulation of a model of a twisted nematic display on a lattice starting from purely microscopic interactions. We visualize the simulated display calculating optical textures under crossed polarizers corresponding to the Monte Carlo microscopic configurations. We also investigate the orientational order and the molecular organizations in the different regions of the lattice, introducing and calculating suitable order parameters.
We have studied the effect of an applied field on a system of particles interacting with a Lebwohl-Lasher potential, enclosed in a polymer-dispersed liquid-crystal droplet with radial boundary conditions. We have used Monte Carlo simulations on a wide temperature range for systems of N = 304 and 5832 particles with positive susceptivity anisotropy, and we have calculated order parameters, the molecular organization, and powder-type deuterium NMR line shapes for eight different fieldstrength values. The effect of the field on the molecular organization is discussed.
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